BodegaLegend
Answered

Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Explore a wealth of knowledge from professionals across various disciplines on our comprehensive Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

You drive a car that runs on ethanol and gas. You have a 20 gallon tank to fill and you can buy fuel that is either 25% or 85% ethanol. How much of each fuel should you buy to have 50% ethanol in the tank? Will give brainliest!!!!!!!!!!!!!!!!!!

Sagot :

mhanifa

Answer:

  • 11.67 gallons of 25% and 8.33 gallons of 85%

Step-by-step explanation:

Let the volume of 25% ethanol be x, then volume of 85% ethanol will be (20 - x)

The ethanol content is:

  • 0.25x + 0.85(20 - x) = 20*0.5
  • 0.25x + 17 - 0.85x = 10
  • -0.6x = 10 - 17
  • -0.6x = -7
  • x = 7/0.6
  • x = 11.67

11.67 gallons of 25% ethanol and

20 - 11.67 = 8.33 gallons of 85% ethanol

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.